a sun of money is divided between kareb an natasga in the ratio 2:5 if natasga recieve $210 how much did karen recieve ? how much money was share in total
Answers
Let us say Karen received X amount of money. Then Natasha has received (X+210).
The ratio that the money divided was 2:5.
X/(X+210) = 2/5
5X = 2(X+210)
3X = 420
X = 140
Total money shared
= X+(X+210)
= 140+140+210
= 490
Correct question :-
• A sum of money is divided between Karen and Natasha in the ratio 2 : 5 if Natasha recieve $210 how much did Karen recieve ? How much money was in total share .
Given :-
•The total money recieved by Natasha
= $210
• The money is divided in the ratio 2 : 5
Solution :-
Let the total amount of money be x
Here,
The money is divided in the ratio 2 : 5
Let the ratios be 2x and 5x
Sum of ratios = 2x + 5x = 7x
Now,
The total amount of money recieved by Natasha = $210
According to the question,
5/7 x = 2/7x + $210
Multiply both side by 7
5/7x * 7 = 7( 2/7x + 210 )
5x = 2x + 1470
5x - 2x = 1470
3x = 1470
x = 1470/3
x = $490
Thus,
The total amount of money is $490 .
Now,
The money recieved by Karen
= 5/7 * 490 = $350